This is shocking. Abed is so INTP he's almost a caricature. Aside from maybe L (from Death Note), I'd be hard-pressed to find as clear-cut an INTP in my mind. That scene is, at best, carefully selected (and named). Even there, he's just n observer who found that he can play in terms of a certain system he observed. He's rather not so much manipulating as observing and behaving within the confines of a system.
I won't claim he CAN'T manipulate people, but he never does so for any real practical reason so much as to take his daydreams to the next level. To play at My Dinner With Andre, to pretend to be in a mafia movie, etc. And it's worth noting he spends almost all of his time fantasizing. I raise you the entire Christmas episode last year: one, long, drawn out daydream in Abed's head. Hell, these manipulations (including the mafia episode and the My Dinner With Andre episodes) usually result in bad things for Abed (in terms of how the others see him): he never even considered the outcomes, he just wanted to play games.
As for the others:
Troy: ESFP. No doubt.
Shirley: ESFJ.
Jeff: ESTP. Too obsessed with appearances and disinterested in virtually anything else (with the exception of a few insightful moments about his friends) to be an N
Annie: ISFJ is right. She can't abide people not playing by the rules (freaking out over the pen, she's ratted on the crew a couple times) and tends to be sly and manipulative to that end. She's also very prone to overreact emotionally.
Britta: She's a little tough. She's clearly FP. I'd lean ISFP. A lot of her supposed political campaigning seems like a thin facade, a way to seem interesting or hip. She seems to spend a lot of time alone and in her head to me.
Pierce: This is the hardest. I feel like sometimes the show isn't sure how to use him so he can vary. He's a schemer, that's for sure, and he drives his friends away, implying he's more comfortable alone. INTJ.
Duncan: INTx. Lean J.
Dean Pelton: ESFx.
Chang: Very hard. He's riddled with mental issues.
Anyone have any thoughts about the characters' types? These are just some shots in the dark to get the ball rolling. 
